Question: Given that a * b = a + ab + b for all a,b Z. (a) Tell whether the operation * is a binary operation

Given that a * b = a + ab + b for all a,b Z. (a) Tell whether the operation * is a binary operation or not. (b) Show if it is commutative and (c) associative. (d) Find the identity and (e) the inverse if possible.

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